Information on Result #701061
Linear OA(421, 71, F4, 9) (dual of [71, 50, 10]-code), using construction XX applied to C1 = C({5,9,13,21,22,23}), C2 = C({5,6,13,21,22,23}), C3 = C1 + C2 = C({5,13,21,22,23}), and C∩ = C1 ∩ C2 = C({5,6,9,13,21,22,23}) based on
- linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {5,9,13,21,22,23}, and minimum distance d ≥ |{17,18,…,23}|+1 = 8 (BCH-bound) [i]
- linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {5,6,13,21,22,23}, and minimum distance d ≥ |{19,20,…,25}|+1 = 8 (BCH-bound) [i]
- linear OA(419, 63, F4, 9) (dual of [63, 44, 10]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {5,6,9,13,21,22,23}, and minimum distance d ≥ |{17,18,…,25}|+1 = 10 (BCH-bound) [i]
- linear OA(413, 63, F4, 5) (dual of [63, 50, 6]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {5,13,21,22,23}, and minimum distance d ≥ |{17,19,21,23,25}|+1 = 6 (BCH-bound) [i]
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [i]
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code) (see above)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.